What is the remainder when 39 is divided by 9
The correct answer and explanation is:
The remainder when 39 is divided by 9 is 3.
Here is a detailed explanation:
Division involves splitting a number into equal parts and finding out how many times the divisor fits completely into the number. When dividing one number by another, the quotient is the number of times the divisor fits fully, and the remainder is what is left over after this division if the number does not divide evenly.
In this case, the problem is to find the remainder when 39 is divided by 9. The divisor is 9, and the dividend is 39.
First, determine how many times 9 fits completely into 39 without exceeding it. The multiples of 9 are 9, 18, 27, 36, 45, and so on. Among these, 36 is the largest multiple of 9 that is less than or equal to 39.
Next, subtract this multiple from 39:
39 – 36 = 3
This difference is the remainder because 9 cannot fit into this leftover 3 anymore without exceeding 39.
Therefore, dividing 39 by 9 gives:
- Quotient = 4 (because 9 × 4 = 36)
- Remainder = 3 (the leftover part after subtracting 36 from 39)
This means 39 divided by 9 equals 4 with a remainder of 3, often written as:
39 = (9 × 4) + 3
The remainder is important in many applications such as modular arithmetic, programming algorithms, and problems related to cycles or periodicity. For example, when dealing with clock arithmetic or dividing objects into groups, understanding the remainder helps in distributing items evenly or figuring out leftovers.
In summary, when 39 is divided by 9, the quotient is 4, and the remainder is 3.